Home / 1,027.24-1,542.70-597.14

Finding the Fourth Proportional to 1,027.24, 1,542.70 and 597.14

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Solution

The fourth proportional to 1,027.24, 1,542.70 and 597.14 is: 896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.24 : 1,542.70 = 597.14 : x
  2. Step 2: Convert to fraction form
    1,027.24/1,542.70 = 597.14/x
  3. Step 3: Cross multiply
    1,027.24x = 1,542.70 × 597.14
  4. Step 4: Simplify right side
    1,027.24x = 921,207.88
  5. Step 5: Solve for x
    x = 921,207.88/1,027.24
  6. Step 6: Final answer
    x = 896.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.